Question 3 Stock A has an expected return of 0.1 and a standard deviation of 0.5. Stock B has an expected return of 0.2 and a standard deviation of 0.6. The correlation coefficient is 0.5. 1. What is the expected return of a portfolio with 70% Stock A and 30% Stock B? 2. What is variance of the portfolio with the weights given above?
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- The beta of an active portfolio is 1.45. The standard deviation of the returns on the market inde is 22%. The nonsystematic variance of the active portfolio is 3%. The standard deviation of the returns on the active portfolio is a) 36.30%. b) 5.84%. c) 19.60%. d) 24.17%. e) 26.0%.You decide to invest in a portfolio consisting of 21 percent Stock X, 48 percent Stock Y, and the remainder in Stock Z. Based on the following information, what is the standard deviation of your portfolio? State of Economy Normal Boom Probability of State of Economy .84 .16 Return if Stat Stock X Stock Y 10.20% 3.60% 17.50% 25.50%The return on stock A is 13 if the economy is good and 01 if the economy is bad. The return on stock B is .09 ifr the economy is good and.05 if it is bad. The probability of a good economy is 50% and the probability of a bad economy is also 50%. Find the standard deviation for a portfolio invested 75% in A and 25% in B. O.04 O.05 O.06 O.07
- You've estimated the following expected returns for a stock, depending on the strength of the economy: State (s) Probability Expected return Recession 0.3 -0.03 Normal 0.5 0.08 Expansion 0.2 0.13 What is the expected return for the stock? What is the standard deviation of returns for the stock?Portfolio ABZ has a daily expected return of 0.0634% and a daily standard deviation of 1.1213%. Assuming that the daily 5 percent parametric VaR is $6 million, calculate the annual 5 percent parametric VaR for a portfolio with a market value of $ 120 million. (Assume 250 trading days in a year and give your answer in Dollars)Question 11 The beta of an active portfolio is 1.45. The standard deviation of the returns on the market index is 22%. The nonsystematic variance of the active portfolio is 3%. The standard deviation of the returns on the active portfolio is a) 36.30%. b) 5.84%. c) 19.60%. d) 24.17%. e) 26.0%.
- RISK ANALYSIS A financial investor builds a portfolio that is worth an expected £35mil. The investor knows that his analysts can build a model to boost the potential return from the portfolio investment. The additional return has a Normal Distribution with mean £3mil and standard deviation £0.5mil. The investor wishes to sell his financial services at a price that guarantees his expected profit will be 5% of the total return from the portfolio. What should the price of his financial service be? Simulate (with a min of 200 repetitions) the average and the standard deviation of the profit the financial advisor realizes when setting the price for his services between 1% and 10% of the total expected return from the portfolio. Then discuss your findings.You plan to invest $1,000 in a corporate bond fund or in a common stock fund. The following table represents the annual return (per $1,000) of each of these investments under various economic conditions and the probability that each of those economic conditions will occur. Compute the expected return for the corporate bond and for the common stock fund. Show your calculations on excel for expected returns. Compute the standard deviation for the corporate bond fund and for the common stock fund. Would you invest in the corporate bond fund or the common stock fund? Explain. If choose to invest in the common stock fund and in (c), what do you think about the possibility of losing $999 of every $1,000 invested if there is depression. Explain.Consider an investment that pays off $700 or $1,600 per $1,000 invested with equal probability. Suppose you have $1,000 but are willing to borrow to increase your expected return. What would happen to the expected value and standard deviation of the investment if you borrowed an additional $1,000 and invested a total of $2,000? What if you borrowed $2,000 to invest a total of $3,000? Instructions: Fill in the table below to answer the questions above. Enter your responses as whole numbers and enter percentage values as percentages not decimals (.e., 20% not 0.20). Enter a negative sign (-) to indicate a negative number if necessary. Invest $1,000 Invest $2,000 Invest $3,000 Expected Value Percent Increase Standard Deviation 1150 S 28 % $ 8 % $ Expected Return N/A Doubled Tripled : #
- If the economy booms, Meyer&Co. stock will have a return of 20.8 percent. If the economy goes into a recession, the stock will have a loss of 13.1 percent. The probability of a boom is 63 percent while the probability of a recession is 37 percent. What is the standard deviation of the returns on the stock? 9.29% 12.43% 13.56% 14.61% 14.61%Two stocks are available. The corresponding expectedrates of return are r¯1 and r¯2; the corresponding variances and covariances areσ12, σ22, and σ12. What percentages of total investment should be invested ineach of the two stocks to minimize the total variance of the rate of return ofthe resulting portfolio? What is the mean rate of return of this portfolio?Question One. The ABC Book Company has a choice of publishing one of two books on the subject of Greek mythology. It expects the sales period for each to be extremely short, and it estimates profit probabilities as follows: Probability 0.2 0.3 0.3 0.2 Book A Profit Class Exercise $2,000 2,300 2,600 : 2,900 Probability 0.1 0.4 0.4 0.1 Book B Profit $1,500 1,700 1,900 2,100 Calculate the expected profit, standard deviation, and coefficient of variation for each of the two books. If you were asked which of the two to publish, what would be your advice?